Effect of Fractional Order of Repeated Roots in Pole Motion

Abstract

There is relation between the impulse response characteristics and the location of poles of transfer function F(s). In this paper, we discuss impulse response for two roots, two times and three times repeated roots for different fractional values of q where 0 .5< q < 1, q = 1, 1 < q < 1.5 in pole motion. The different characters of the impulse response are shown in different numerical examples. The numbers of figures are presented to explain the concepts.